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The only practical reason to calculate the discount is as an intermediate step in determining the new price.
It is not possible to calculate the area given only the volume.
You can't. You need to know content.
If you're only given the base, then you can't calculate the other leg. If you have any one of the following, then you can calculate all of the parts of the triangle: -- length of the other leg -- length of the hypotenuse -- size of either acute angle
Given only the information in the question, there is no option but to measure the pentagon at the base and calculate its area.